00:01
For this question, for the first part we have to calculate the confidence interval, which is given as mean, that is x bar, plus minus e, where e is equal to t multiplied by s divided by square root n.
00:20
Now here, n is equal to 7, t, which is the t value for 95 % confidence interval, which we calculate using the x -l function, t -inv, 0 .05, which is the value of l -b, and 7 which is the value of n which is 2 .365 further we calculate x bar which is sum of all the observation that is 36 divided by number of observation 8 that is 4 .50 here 7 is degree of freedom this is mean right so finally we come to standard deviation s which is given as square root summation x minus x bar whole square divided by m minus 1, we have the values of x, we have the values of x bar, we get square root 2 .18 divided by 7, that is 0 .5581.
01:33
Thus the value of e becomes t, that is 2 .365, multiplied by s, that is 0 .5581, divided by square root 7, which is 0 .467.
01:51
And finally the confidence interval becomes x bar that is 4 .5 plus minus 0 .467 which will be equals to 4 .033 to 4 .967.
02:10
Coming to part b of the question.
02:14
Here, the nile hypothesis h0 is new equals to 3 .5 which is tested against the alternative hypothesis ha which is new is not equals to 3 .5...